The graph of the magnetic energy density and the electric energy density as a function of time.
Answer to Problem 22PQ
The graph of electric energy density as a function of time is as follows.
Figure-(1)
The graph of magnetic energy density as a function of time is as follows.
Figure-(2)
Explanation of Solution
The electric and magnetic fields vary in space with time
Here,
Write the given expression for the electric field.
Compare the above expression with the equation (I).
Write the expression for the time period
Substitute
Write the expression for electric energy density
Here,
Substitute equation (I) in the above equation and
Calculate the values of
0 | 0 |
5 | |
10 | |
15 | |
20 | |
25 | |
30 | |
35 | |
40 | |
45 | |
50 | |
55 | |
60 | |
65 | |
70 |
Plot the graph by taking
Figure-(1)
Write the expression for the amplitude of the magnetic field.
Here,
Substitute
Substitute
Write the expression for the magnetic energy density of the wave.
Here,
Substitute equation (III) and
Since, the expressions for the electric energy density and magnetic energy density are same. Therefore, the graph for magnetic energy density is same as that for electric energy density.
Hence, the graph for magnetic energy density with time is as shown.
Figure-(2)
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Chapter 34 Solutions
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